(x+8)(x+1)=-10

Solution for (x+8)(x+1)=-10 equation:

Simplifying
(x + 8)(x + 1) = -10

Reorder the terms:
(8 + x)(x + 1) = -10

Reorder the terms:
(8 + x)(1 + x) = -10

Multiply (8 + x) * (1 + x)
(8(1 + x) + x(1 + x)) = -10
((1 * 8 + x * 8) + x(1 + x)) = -10
((8 + 8x) + x(1 + x)) = -10
(8 + 8x + (1 * x + x * x)) = -10
(8 + 8x + (1x + x2)) = -10

Combine like terms: 8x + 1x = 9x
(8 + 9x + x2) = -10

Solving
8 + 9x + x2 = -10

Solving for variable 'x'.

Reorder the terms:
8 + 10 + 9x + x2 = -10 + 10

Combine like terms: 8 + 10 = 18
18 + 9x + x2 = -10 + 10

Combine like terms: -10 + 10 = 0
18 + 9x + x2 = 0

Factor a trinomial.
(6 + x)(3 + x) = 0

Subproblem 1
Set the factor '(6 + x)' equal to zero and attempt to solve:

Simplifying
6 + x = 0

Solving
6 + x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-6' to each side of the equation.
6 + -6 + x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + x = 0 + -6
x = 0 + -6

Combine like terms: 0 + -6 = -6
x = -6

Simplifying
x = -6
Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve:

Simplifying
3 + x = 0

Solving
3 + x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-3' to each side of the equation.
3 + -3 + x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + x = 0 + -3
x = 0 + -3

Combine like terms: 0 + -3 = -3
x = -3

Simplifying
x = -3
Solution
x = {-6, -3}